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Rectified Linear Units Improve Restricted Boltzmann Machines

Rectified Linear Units Improve Restricted Boltzmann MachinesVinod E. of Computer Science, University of Toronto, Toronto, ON M5S 2G4, CanadaAbstractRestricted Boltzmann Machines were devel-oped using binary stochastic hidden can be generalized by replacing eachbinary unit by an infinite number of copiesthat all have the same weights but have pro-gressively more negative biases. The learningand inference rules for these Stepped Sig-moid Units are unchanged. They can be ap-proximated efficiently by noisy, Rectified lin-ear Units . Compared with binary Units , theseunits learn features that are better for objectrecognition on the NORB dataset and faceverification on the Labeled Faces in the Wilddataset.

each feature detector to be 1 with probability p(hj = 1) = 1 1+exp(−bj − P i∈vis viwij) (2) where bj is the bias of j and vi is the binary state of pixel i. Once binary states have been chosen for the hidden units we produce a “reconstruction” of the training image by setting the state of each pixel to be 1 with probability p(vi = 1 ...

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